On the Lebesgue and Sobolev spaces on a time-scale
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wersja wydawnicza
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pp. 705-731
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Bibliogr. 730-731.
Abstract
We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval. These results provide the necessary framework for the study of boundary value problems on bounded time-scales.